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7.An ideal gas is expanding such thatPT2=constant. The coefficient of volumeexpansion of the gas is :(A) |
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Answer» answer is 3 / T. Explanation: Given the gas is an ideal gas. Hence P V = n R T ---- (1) Given also that the gas follows a process such that the equation P T² = Constant = C (say) ---- (2) Hence, C/T² * V = n R T => V = (n R /C) T³ ---- (3) Differentiating WRT T we get: dV = 3 (nR/C) T² dT ---- (4) Thermal Coefficient of volume expansion of the given gas during the given process is defined as : (dV/dT)/ V = (dV/V) * 1/dT ---- (5) which comes to 3/T USING the equations above. ans: 3/T |
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